Results 41 to 50 of about 402,535 (171)
Invariance of the normalized Minkowski content with respect to the ambient space [PDF]
, 2012 It is easy to show that the lower and the upper box dimensions of a bounded set in Euclidean space are invariant with respect to the ambient space. In this article we show that the Minkowski content of a Minkowski measurable set is also invariant with respect to the ambient space when normalized by an appropriate constant.
arxiv +1 more source
Spinors in extended Minkowski space [PDF]
arXiv, 2023 The exterior algebra of Minkowski space naturally has the structure of a sixteen-dimensional Clifford algebra representation, and so can be used as the space of spinors. We examine plane, circular, and spherical solutions to the free Dirac equation in this extended notion of Minkowski space, and indicate how they can be used to obtain solutions to the ...
arxiv
Semi-indefinite-inner-product and generalized Minkowski spaces [PDF]
, 2009 In this paper we parallelly build up the theories of normed linear spaces and of linear spaces with indefinite metric, called also Minkowski spaces for finite dimensions in the literature. In the first part of this paper we collect the common properties of the semi- and indefinite-inner-products and define the semi-indefinite-inner-product and the ...
arxiv +1 more source
An approach to energy and elastic for curves with extended Darboux frame in Minkowski space
AIMS Mathematics, 2020 In this paper, we construct the energy for the ED-frame field of the first and second kind on an orientable hypersurface in Minkowski space. We obtain the geometric properties of some graphics by way of energy.
Talat Körpinar, Yasin Ünlütürk
doaj +1 more source
Orthonormal Basis in Minkowski Space [PDF]
arXiv, 2012 Finsler space is differentiable manifold for which Minkowski space is the fiber of the tangent bundle. To understand structure of the reference frame in Finsler space, we need to understand the structure of orthonormal basis in Minkowski space. In this paper, we considered the definition of orthonormal basis in Minkowski space, the structure of ...
arxiv
Time as a geometric property of space
Frontiers in Physics, 2016 The proper description of time remains a key unsolved problem in science. Newton conceived of time as absolute and universal which it `flows equably without relation to anything external'}.
James Michael Chappell +4 more
doaj +1 more source
Geometry of world sheets in Lorentz-Minkowski space [PDF]
arXiv, 2014 A world sheet in Lorentz-Minkowski space is a timelike submanifold consisting of a one-parameter family of spacelike submanifolds in Lorentz-Minkowski space. In this paper we investigate differential geometry of world sheets in Lorentz-Minkowski space as an application of the theory of big wave fronts.
arxiv
Geometric properties of the Minkowski operator
Қарағанды университетінің хабаршысы. Математика сериясыThis article is about Minkowski difference of sets, which is one of the Minkowski operators. The necessary and sufficient conditions for the existence of the Minkowski difference of given regular polygons in the plane were derived. The method of finding
M.Sh. Mamatov +3 more
doaj +1 more source
Involute-evolute d-curves in Minkowski 3-space E 3 1
Boletim da Sociedade Paranaense de Matemática, 2020 In this paper, we examine the notion of the involute-evolute curves for the curves lying the surfaces in Minkowski 3-space E3 1 . We call these new associated curves as involute-evolute and by using the Darboux frame of the curves.
Fatma Almaz, Mihriban Alyamaç Kulahci
doaj +1 more source
The Orlicz-Brunn-Minkowski theory: A general framework, additions, and inequalities [PDF]
arXiv, 2013 The Orlicz-Brunn-Minkowski theory, introduced by Lutwak, Yang, and Zhang, is a new extension of the classical Brunn-Minkowski theory. It represents a generalization of the $L_p$-Brunn-Minkowski theory, analogous to the way that Orlicz spaces generalize $L_p$ spaces.
arxiv